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Submission #866977

# Submission time Handle Problem Language Result Execution time Memory
866977 2023-10-27T14:31:27 Z iskhakkutbilim Knapsack (NOI18_knapsack) C++17
100 / 100
 64 ms 36432 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define ff first
#define ss second
#define all(a) a.begin(), a.end()
const int mod = 1e9 + 7;
const int N = 1e5;

main(){
   ios::sync_with_stdio(0);
   cin.tie(0); cout.tie(0);
	int s, n; cin >> s >> n;
	vector<int> dp(s+1, LLONG_MIN);
	vector<pair<int, int> > items[s+1];
	vector< vector<int> > weights(s+1, vector<int>(s+1, 0));
	dp[0] = 0;
	for(int i = 1;i <= n; i++){
		int V, W, K; cin >> V >> W >> K;
		items[W].push_back({V, K});
	}
	for(int i = 1;i <= s; i++){
		sort(all(items[i]));
		for(int j = 1;j <= s && items[i].size(); j++){
			weights[i][j] = weights[i][j-1] + items[i].back().ff;
			items[i].back().ss--;
			if(items[i].back().ss == 0) items[i].pop_back();
		}
	}
	for(int i = 1;i <= s; i++){
			for(int d = s; d>= 0; d--){
				for(int round = 1; d-round * i >= 0 && round <= s; round++){
					dp[d] = max(dp[d], dp[d-round*i] + weights[i][round]);
				}
			}
	}
	int ans = LLONG_MIN;
	for(int i = 0;i <= s; i++){
		ans = max(ans, dp[i]);
	}
	cout << ans;
	return 0;
}

Compilation message

knapsack.cpp:11:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   11 | main(){
      | ^~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 12376 KB Output is correct
2 Correct 13 ms 12380 KB Output is correct
3 Correct 11 ms 12264 KB Output is correct
4 Correct 11 ms 12380 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 29 ms 31936 KB Output is correct
3 Correct 36 ms 31832 KB Output is correct
4 Correct 29 ms 31580 KB Output is correct
5 Correct 29 ms 31580 KB Output is correct
6 Correct 30 ms 31836 KB Output is correct
7 Correct 29 ms 31836 KB Output is correct
8 Correct 29 ms 31836 KB Output is correct
9 Correct 30 ms 31836 KB Output is correct
10 Correct 30 ms 31836 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 29 ms 31936 KB Output is correct
3 Correct 36 ms 31832 KB Output is correct
4 Correct 29 ms 31580 KB Output is correct
5 Correct 29 ms 31580 KB Output is correct
6 Correct 30 ms 31836 KB Output is correct
7 Correct 29 ms 31836 KB Output is correct
8 Correct 29 ms 31836 KB Output is correct
9 Correct 30 ms 31836 KB Output is correct
10 Correct 30 ms 31836 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 36 ms 31928 KB Output is correct
13 Correct 31 ms 31848 KB Output is correct
14 Correct 32 ms 31836 KB Output is correct
15 Correct 30 ms 31808 KB Output is correct
16 Correct 29 ms 31836 KB Output is correct
17 Correct 29 ms 32088 KB Output is correct
18 Correct 30 ms 31688 KB Output is correct
19 Correct 30 ms 31912 KB Output is correct
20 Correct 30 ms 31832 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 12376 KB Output is correct
2 Correct 13 ms 12380 KB Output is correct
3 Correct 11 ms 12264 KB Output is correct
4 Correct 11 ms 12380 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 29 ms 31936 KB Output is correct
7 Correct 36 ms 31832 KB Output is correct
8 Correct 29 ms 31580 KB Output is correct
9 Correct 29 ms 31580 KB Output is correct
10 Correct 30 ms 31836 KB Output is correct
11 Correct 29 ms 31836 KB Output is correct
12 Correct 29 ms 31836 KB Output is correct
13 Correct 30 ms 31836 KB Output is correct
14 Correct 30 ms 31836 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 36 ms 31928 KB Output is correct
17 Correct 31 ms 31848 KB Output is correct
18 Correct 32 ms 31836 KB Output is correct
19 Correct 30 ms 31808 KB Output is correct
20 Correct 29 ms 31836 KB Output is correct
21 Correct 29 ms 32088 KB Output is correct
22 Correct 30 ms 31688 KB Output is correct
23 Correct 30 ms 31912 KB Output is correct
24 Correct 30 ms 31832 KB Output is correct
25 Correct 0 ms 548 KB Output is correct
26 Correct 30 ms 31868 KB Output is correct
27 Correct 29 ms 31836 KB Output is correct
28 Correct 31 ms 31868 KB Output is correct
29 Correct 30 ms 31836 KB Output is correct
30 Correct 31 ms 31832 KB Output is correct
31 Correct 33 ms 31832 KB Output is correct
32 Correct 30 ms 31836 KB Output is correct
33 Correct 30 ms 31580 KB Output is correct
34 Correct 29 ms 31832 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 12376 KB Output is correct
2 Correct 13 ms 12380 KB Output is correct
3 Correct 11 ms 12264 KB Output is correct
4 Correct 11 ms 12380 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 29 ms 31936 KB Output is correct
7 Correct 36 ms 31832 KB Output is correct
8 Correct 29 ms 31580 KB Output is correct
9 Correct 29 ms 31580 KB Output is correct
10 Correct 30 ms 31836 KB Output is correct
11 Correct 29 ms 31836 KB Output is correct
12 Correct 29 ms 31836 KB Output is correct
13 Correct 30 ms 31836 KB Output is correct
14 Correct 30 ms 31836 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 36 ms 31928 KB Output is correct
17 Correct 31 ms 31848 KB Output is correct
18 Correct 32 ms 31836 KB Output is correct
19 Correct 30 ms 31808 KB Output is correct
20 Correct 29 ms 31836 KB Output is correct
21 Correct 29 ms 32088 KB Output is correct
22 Correct 30 ms 31688 KB Output is correct
23 Correct 30 ms 31912 KB Output is correct
24 Correct 30 ms 31832 KB Output is correct
25 Correct 0 ms 548 KB Output is correct
26 Correct 30 ms 31868 KB Output is correct
27 Correct 29 ms 31836 KB Output is correct
28 Correct 31 ms 31868 KB Output is correct
29 Correct 30 ms 31836 KB Output is correct
30 Correct 31 ms 31832 KB Output is correct
31 Correct 33 ms 31832 KB Output is correct
32 Correct 30 ms 31836 KB Output is correct
33 Correct 30 ms 31580 KB Output is correct
34 Correct 29 ms 31832 KB Output is correct
35 Correct 22 ms 3304 KB Output is correct
36 Correct 52 ms 35020 KB Output is correct
37 Correct 51 ms 34772 KB Output is correct
38 Correct 52 ms 35112 KB Output is correct
39 Correct 55 ms 35636 KB Output is correct
40 Correct 64 ms 36184 KB Output is correct
41 Correct 50 ms 35420 KB Output is correct
42 Correct 54 ms 35436 KB Output is correct
43 Correct 51 ms 35372 KB Output is correct
44 Correct 50 ms 35420 KB Output is correct
45 Correct 55 ms 36328 KB Output is correct
46 Correct 57 ms 35536 KB Output is correct
47 Correct 57 ms 36432 KB Output is correct
48 Correct 57 ms 36168 KB Output is correct
49 Correct 56 ms 35924 KB Output is correct
50 Correct 53 ms 35580 KB Output is correct